Abstract: A computer-implemented method for generating missing frequencies within geophysical data, said method including: decomposing, with a computer, geophysical data into frequencies and slowness or wavenumber along time and one or more spatial dimensions; estimating, with a computer, a filter across known frequencies within the geophysical data for each time, spatial dimension, and slowness or wavenumber sample; extrapolating or interpolating, with a computer, the missing frequencies from the known frequencies by applying the filter; recomposing, with a computer, the known frequencies and the missing frequencies back into time and the one or more spatial dimensions; and prospecting for hydrocarbons with geophysical data that includes the missing frequencies.

Abstract: A hand-held or portable vibration sensor device having a housing and a sensor body which generally provides a single point of contact with the machinery or apparatus for which vibration measurement is desired. In one aspect, the sensor body comprises a vibration sensor element such as an accelerometer for measuring vibration. In another aspect, a force sensor such as a force sensing resistor or load cell is provided to reduce the impact of forces applied to said hand-held vibration sensor such as a force applied through a handle during measurement. In another aspect, a compensation circuit processes the out put from a vibration sensor element to provide a relatively flat frequency response over a desired operational frequency range. The hand-held vibration sensor may also comprise a rubber isolation member disposed between the sensor body and force sensor.

Abstract: An adaptive distortion reduction system comprising: an input interface to receive a distorted signal comprising a distorted component and an undistorted component, the distorted component being at least in part attributed to an exogenous signal; and an adaptive distortion reduction module coupled to the input interface, to perform linearization based at least in part on the distorted signal and information associated with the exogenous signal, to obtain a corrected signal that is substantially similar to the undistorted component; wherein the adaptive self-linearization module includes: a first digital signal processor (DSP) that is adapted to obtain a filter transfer function that approximates a transfer function to be corrected; and a second DSP that is configured using configuration parameters of the first DSP.

Abstract: Methods and apparatus for LC/IMS/MS analysis involve obtaining noisy raw data from a sample, convolving the data with an artifact-reducing filter, and locating, in retention-time, ion mobility, and mass-to-charge-ratio dimensions, one or more ion peaks of the convolved data.

Abstract: A method of estimating states of a plurality of targets tracked by a plurality of sensors. The method includes obtaining a plurality of data sets based on measurements taken by a plurality of sensors, each data set including information on states of a plurality of targets. The method then generates a plurality of target correlation data sets describing correlation of the targets within a first data set and at least one other data set. A Generalised Covariance Union (GCU) technique is used to merge at least some of the plurality of target correlation data sets to generate an estimate of the states of the plurality of targets.

Abstract: Implementations for estimating a resource usage of data-filtering program and dynamically installing the filtering programs in a sensor-based data filtering systems are generally disclosed.

Abstract: A method and a device are described for determining the rotational direction and/or rotational speed of a rotatable body on the basis of a sine signal and cosine signal, which is assignable to the rotational direction and/or rotational speed of the rotatable body and are output by a sensor, having at least one of the following steps: recording a sine signal and cosine signal, which is assignable to the rotational direction and/or rotational speed, at a point in time; determining a phase value from the sine signal and cosine signal; recording sine signals and cosine signals, which is assignable to the rotational direction and/or rotational speed, at points in time; determining phase values from the corresponding sine signals and cosine signals; calculating phase differences from the phase values and the phase value; and determining the rotational direction and/or rotational speed from the phase differences on the basis of a Vernier method.

Abstract: The present invention relates to vibration analysis and in particular, but not limited to, the derivation of multiple types of vibration signals from one vibration signal for vibration analysis. In the preferred method of the invention the vibrations of an object are measured using at least one vibration sensor, wherein the vibration sensor converts vibrations into an electrical vibration signal. The electrical vibration signal is digitized based on a first frequency, wherein the first frequency is selected from a plurality of possible frequency values. A first type of vibration signal is derived from the digitized vibration signal. A second type of vibration signal is then derived from the digitized vibration signal based on a second frequency. The second frequency is rationally determined from, and lower than, the value selected for the first frequency. The invention also provides apparatus for deriving multiple types of vibration signals from one measured vibration signal for vibration analysis.

Abstract: Multiple microphone noise suppression apparatus and methods are described herein. The apparatus and methods implement a variety of noise suppression techniques and apparatus that can be selectively applied to signals received using multiple microphones. The microphone signals received at each of the multiple microphones can be independently processed to cancel echo signal components that can be generated from a local audio source. The echo cancelled signals may be processed by some or all modules within a signal separator that operates to separate or otherwise isolate a speech signal from noise signals. The signal separator can include a pre-processing de-correlator followed by a blind source separator. The output of the blind source separator can be post filtered to provide post separation de-correlation. The separated speech and noise signals can be non-linearly processed for further noise reduction, and additional post processing can be implemented following the non-linear processing.

Abstract: Disclosed herein is a Fourier transform-based phasor estimation method and apparatus capable of eliminating the influence of exponentially decaying DC offsets. According to a Fourier transform-based phasor estimation method according to an embodiment of the present invention, an input signal is sampled, and samples of one-cycle data of the input signal are separated into at least two sample groups. A Discrete Fourier Transform (DFT) is performed on each of the sample groups. A DC offset included in the input signal is calculated on a basis of results of the DFT on each of the sample groups, and an error caused by the DC offset is calculated using the calculated DC offset. A phasor of a fundamental frequency component included in the input signal is estimated by eliminating the calculated error, caused by the DC offset, from the results of the DFT on the input signal.

Abstract: A method of signal processing includes receiving a distorted signal comprising a distorted component and an undistorted component, the distorted component being at least in part attributed to an exogenous signal, and performing linearization, based at least in part on the distorted signal and information associated with the exogenous signal, to obtain a corrected signal that is substantially similar to the undistorted component. An adaptive distortion reduction system includes an input interface configured to receive a distorted signal comprising a distorted component and an undistorted component, the distorted component being at least in part attributed to an exogenous signal; and an adaptive distortion reduction module coupled to the input interface, configured to perform linearization based at least in part on the distorted signal and information associated with the exogenous signal, to obtain a corrected signal that is substantially similar to the undistorted component.

Abstract: A method for measuring active power of alternating current (AC) using a digital phase-locked loop (DPLL) includes the steps of (1) generating via the DPLL a pair of substantially mutually orthogonal sinusoid signals in response to an input voltage data signal, (2) mixing a first sinusoid signal of the pair with a current data signal of the alternating current via a first low-pass filter, (3) mixing the first sinusoid signal of the pair with a voltage signal of the alternating current via a second low-pass filter, and (4) computing an active power of the alternating current based on an output from the first low-pass filter and an output from the second low-pass filter.

Abstract: (EN) The invention concerns a device for controlling an internal combustion engine (601), comprising means (600) for generating a signal for controlling the internal combustion engine (601), a sensor (602) for supplying a pressure measurement signal of a combustion chamber of the internal combustion engine (601), and a filtering device (603) for generating a filtered pressure signal, said filtering device (603) being made from analog electronic components.

Abstract: The measurement apparatus includes a distortion correcting unit configured to generate a plurality of correction signals by correcting the plurality of signals using a distortion coefficient which is stored in the apparatus, a square-root of sum of squares arithmetic unit configured to calculate a square-root of sum of squares of the plurality of correction signals, a first normalizing unit configured to generate a plurality of first normalized signals by dividing each of the plurality of correction signals by the square-root of sum of squares, and a phase arithmetic unit configured to calculate the position of the object based on the plurality of first normalized signals.

Abstract: An apparatus, computer program product and method of analyzing complex signals. Independent versions are generated for the complex signal, e.g., by adding multiple instances of white noise. Intrinsic mode functions (IMFs) are extracted from each of the independent versions, e.g., using Empirical Mode Decomposition (EMD). Corresponding IMFs from each independent version are combined into Ensemble IMFs (EIMFs), e.g., taking the mean of the corresponding IMFs.

Abstract: An apparatus for reading out a modulated time-continuous sensor output signal includes a loop filter, a sample-quantizer and a feedback circuit. The loop filter filters the sensor output signal to provide a filtered sensor output signal, and amplifies frequency proportions present in a frequency range. The sample-quantizer samples and quantizes the filtered sensor output signal to provide a time-discrete, quantized sensor output signal. The feedback circuit feeds a feedback signal based on the time-discrete, quantized sensor output signal back to the loop filter and provides a readout signal.

Abstract: A signal processing circuit and a method for processing an HF input signal are described, having an HF receiver for generating an IF signal on an intermediate frequency from an HF input signal, a frequency divider for generating a signal from the IF signal or a signal derived from the IF signal, with a frequency reduced compared with the intermediate frequency, and a sampling unit for sampling the signal with the reduced frequency by using a sampling frequency, wherein the sampling frequency is smaller than the double intermediate frequency, and wherein the frequency divider divides the intermediate frequency such that the reduced frequency and the sampling frequency are spaced such that the sampling theorem is fulfilled at least for the first odd-numbered harmonic of the signal with the reduced frequency.

Abstract: A disclosed image forming apparatus for detecting position displacement patterns and correcting position displacement of an image forming position in a main scanning direction according to the detection result, includes a position displacement amount calculating part configured to calculate the amount of the position displacement according to the detection result, a position displacement correcting part configured to correct the position displacement by performing at least one of multiplication correction or multiplication error deviation correction, a correction amount calculating part configured to calculate a multiplication error deviation correction amount for correcting multiplication error deviation generated by the multiplication correction, a first determining part configured to determine whether to plot a first position displacement correction pattern included in the position displacement patterns for performing the multiplication error deviation correction according to the multiplication error devia

Abstract: Methods of analyzing equivalency with respect to split and limited release lots of wafers of integrated circuits. One embodiment of the split-lot method includes: (1) dividing a set of data regarding the split lot into control and experimental subsets, (2) summarizing statistics regarding the set and the subsets to an experimental unit above a site level and (3) performing a two-way analysis of variance with respect to the statistics to determine the equivalency, using the set for one way of the analysis of variance and the subsets for another way of the analysis of variance.

Abstract: A displacement detection method detects a displacement from phase singularities before and after the displacement, by specifying the phase singularities based on predetermined elements by acquiring the elements from a phase structure of the phase singularities, and detecting positions of the phase singularities after the displacement based on the elements acquired by specifying of the phase singularity.

Abstract: The present invention relates to vibration analysis and in particular, but not limited to, the derivation of multiple types of vibration signals from one vibration signal for vibration analysis. In the preferred method of the invention the vibrations of an object are measured using at least one vibration sensor, wherein the vibration sensor converts vibrations into an electrical vibration signal. The electrical vibration signal is digitized based on a first frequency, wherein the first frequency is selected from a plurality of possible frequency values. A first type of vibration signal is derived from the digitized vibration signal. A second type of vibration signal is then derived from the digitized vibration signal based on a second frequency. The second frequency is rationally determined from, and lower than, the value selected for the first frequency. The invention also provides apparatus for deriving multiple types of vibration signals from one measured vibration signal for vibration analysis.

Abstract: A position measurement apparatus includes a movable stage structure, a measurement unit using a laser to measure a moved position of the stage and to output a corresponding measured value, a first filter configured to attenuate a first component of a certain frequency region of the measured value outputted by the measurement unit, a second filter connected in parallel with the first filter configured to attenuate a second component other than the certain frequency region of the measured value outputted by the measurement unit, a third filter connected in series to the second filter with the series connection of the second and third filters connected in parallel with the first filter, configured to attenuate the first component of the certain frequency region of the measured value outputted by the measurement unit, and a processing unit configured to combine an output of the first filter and an output of the series connection of the second and third filters and to thereby output a first combined value.

Abstract: A method for reconstructing an electrical signal in which the signal and a second signal, which is related to the first signal according to a predefined function, are sampled at a predefined sampling rate. The occurrence of aliasing in a downstream digital low-pass filter may be substantially reduced if missing sampling values of the first signal are calculated from the sampling values of the second signal with the aid of the known function.

Abstract: The device determines the weighting coefficients to be applied to N digital source signals to form a composite signal. The first- to third-order moments of the composite signal must respectively present mean value, variance and skewness characteristics predefined by a user. The device introduces an additional variable, in the form of a weighting matrix W. The vector w being the vector of the weighting coefficients and wT the transpose of the vector w, the difference W?wwT is a positive semidefinite matrix. Moreover, the device performs linearization, around a vector wref of reference weighting coefficients, of the skewness constraint on the third-order moments using a matrix A = [ W w w T 1 ] as further intermediate variable.

Abstract: A projection is associated with a first signal and a second signal. The second signal includes a first portion associated with the first signal and a second portion not associated with the first signal. The projection at least substantially separates the first portion of the second signal from the second portion of the second signal. One or more parameters of a model are identified using at least a portion of the projection. The model associates the first signal and the first portion of the second signal.

Abstract: Systems and methods for the design or implementation of statistical filters for use in the spectral shaping of transmissions are disclosed. A desired power spectrum may be mapped to find pole locations that approximate the desired spectrum. These pole locations may then be mapped to the edge or inside of an equilateral polygon lying inside a unit circle, the equilateral polygon having the same number of sides as the order of the statistical filter desired and one vertex mapped to unity, to yield a set of eigenvalues. These eigenvalues may be the eigenvalues of a stochastic matrix the elements of which may be the Markov transition probabilities for use in a statistical filter designed to achieve the desired power spectrum. Use of a statistical filter employing these Markov transition values may be utilized to shape UWB or other signals to achieve the desired power spectrum.

Abstract: A method of analyzing a dataset of spectra is provided in which each spectrum has a count value for each of a number of parameter values within a parameter range. The method is for identifying one or more parameter values that exhibit a significant variation within the dataset. A dataset of spectra is obtained and a statistical analysis is applied to the count values for each of the parameter values. The result of the analysis for each parameter value is a function of the variation in the count values. A spectrum that is representative of at least part of the dataset of spectra is then displayed together with the results of the statistical analysis. A corresponding computer program and system for performing the method are also disclosed.

Abstract: Methods, apparatus, and systems for source separation include a converged plurality of coefficient values that is based on each of a plurality of M-channel signals. Each of the plurality of M-channel signals is based on signals produced by M transducers in response to at least one information source and at least one interference source. In some examples, the converged plurality of coefficient values is used to filter an M-channel signal to produce an information output signal and an interference output signal.

Abstract: In a process and apparatus for determining the state of a body, a number n of measured values {right arrow over (x)}i of a state of the body with i=1, . . . , n are measured and recorded, the measured values {right arrow over (x)}i representing points in the k-dimensional space. The measured values {right arrow over (x)}i of the state are then fed to a Kalman filter for estimating the state of the body. For each number n of measured values {right arrow over (x)}i of a state of the body, a first quantity {right arrow over (m)}n and a second quantity rn are derived, and are fed to the Kalman filter, the quantity {right arrow over (m)}n being the center vector, and the quantity rn being the radius of a k-dimensional sphere Bn within which all points {right arrow over (x)}i are situated.

Abstract: The state or condition of a system may be evaluated by comparing a set of selected parameter values, converted into a trial vector, with a number of model or exemplar vectors, each of which was represents a particular state or condition of a sample system. Examples of such conditions may include “good”, “marginal”, “unacceptable”, “worn”, “defective”, or other general or specific conditions. Sets of parameter values from the system are converted into input vectors. Unprocessed vectors are then processed against the input vectors in an artificial neural network to generate the exemplar vectors. The exemplar vectors are stored in a memory of an operational system. During operation of the system, the trial vector is compared with the exemplar vectors. The exemplar vector which is closest to the trial vector represents a state which most closely represents the current state of the system.

Abstract: A matrix includes samples associated with a first signal and samples associated with a second signal. The second signal includes a first portion associated with the first signal and a second portion associated with at least one disturbance, such as white noise or colored noise. A projection of the matrix is produced using canonical QR-decomposition. Canonical QR-decomposition of the matrix produces an orthogonal matrix and an upper triangular matrix, where each value in the diagonal of the upper triangular matrix is greater than or equal to zero. The projection at least substantially separates the first portion of the second signal from the second portion of the second signal.

Abstract: A method of strongly decorrelating signals comprising processing input signals to determine delay and rotation parameters which implement at least one elementary paraunitary matrix. The parameters transform the input signals into output signals with improvement in a measure of strong decorrelation. The improvement in the measure of strong decorrelation is then assessed: if it is significant the latest output signals are, designated as input signals and the process is iterated. Iteration continues until the measure of strong decorrelation ceases to improve significantly, at which point the latest output signals are designated as signals decorrelated in a wide sense.

Abstract: An apparatus and method for use is described which permits real time monitoring of build-up of particulate contamination in a wafer processing chamber. The apparatus is capable of monitoring particle build up in regions of a processing chamber which are not accessible by traditional optical particle scanners. An accelerometer is fastened to a body in the chamber upon which particulates deposit. The body is subjected to vibrations and produces a vibration signal which is detected by the accelerometer. The signal is processed to form a frequency spectrum of vibration amplitudes. Frequencies in a selected band are directly proportional to the particulate build up on the body. The invention is applied to a wafer annealing tool with a rotatable platform wherein particles deposit on a support body under the wafer. The method and apparatus have been shown to be reliable and accurate as well as cost effective and easily implemented.

Abstract: The directions of optical axes of headlights of a vehicle are adjusted based on a steering angle by switching filters of different response speed characteristics. The filters are provided with hystereses along boundaries neighboring to each other. The filters are switched depending upon the steering angle and a steering angular velocity to vary the response of swivel control. Therefore, the start of swiveling is not quickened, the filter is not frequently switched, quick motion is suppressed and, hence, smooth motion is realized making it possible to execute a swivel control without causing discomfort.

Abstract: A method of representing a sound field includes the steps of acquiring measurement signals (cn) which are delivered by simple sensors (2n) that are exposed to sound field (P) determining encoding filters which are representative of at least the structural characteristics of the sensors and processing the measurement signals (cn) by applying the encoding filters to the signals (cn), in order to determine a finite number of representative coefficients over time and in the three-dimensional space of the sound field (P).

Abstract: An enhancement filter for an oscilloscope is disclosed wherein the enhancement filter may be initially calibrated for one or more channels and/or for one or more attenuation settings such as 50 mV per division, 100 mV per division, and/or 200 mV per division, for example. In one embodiment, a desired filter response is selected to have a modified Gaussian type filter function having an at least approximately linear phase response, wherein the transfer function of the desired filter response comprises a step response that is be stored in the oscilloscope to be used as a part of calibration system of the oscilloscope.

Abstract: An engine diagnostic system is provided that enables a service technician to evaluate engine cylinder contribution to output power. The service technician couples one or more signal leads to the vehicle's battery, alternator, or accessory receptacle (e.g., cigarette lighter receptacle) to provide an alternator output signal to a signal analyzer. The signal analyzer processes the alternator output signal to generate an engine signature, which represents engine cylinder contribution to engine output power.

Abstract: A method of conditioning a signal being communicated between a system to be controlled and a controller may include monitoring an actual output signal and conditioning the actual output signal. The method also includes determining the difference between the actual output signal and the condition signal and causing the actual output signal to be filtered based on the relationship between the difference between the actual output signal and the conditioned signal.

Abstract: The invention provides for improved signal to noise ratios in evaluation techniques. This is done by acquiring a signal, processing it to obtain a complex form thereof, obtaining a filtering factor from the complex form and processing the acquired signal with the filtering factor. The signal may be areturned ultrasonic, radar or sonar signal which may be reflected from a suitably sharp pulse. In particular, the invention may he used to evaluate articles to detect defects therein. In a preferred form, the complex form is filtered with a number of complex filters and the phases of the complex filtered signals determined. These phases are then used to provide the filtering factor.

Abstract: A system and method for self-configuring and self-optimizing filters is presented. A computing device monitors the number of occurrences of event types at particular stages in a data stream and adjusts filter properties in order to maximize processing efficiency based upon the number of event types that the computing device receives. The computing device may reconfigure, reorder, or create an exception filter based upon the analysis of the event types. The computing device may also pre-configure filter stages using historical data based upon a time of day, a time of month, or a time of year.

Abstract: Multi-phase clock time stamping for improving time stamp resolution is provided. One of many possible embodiments is a method for generating a time stamp having an improved time resolution for an event signal. Briefly described, one such method comprises the steps of: receiving an event signal for which a time stamp is to be generated; generating a first pulse signal having a pulse width defined by the event signal and a first clock signal; generating a second pulse signal having a pulse width defined by the event signal and a second clock signal; and determining which of the first pulse signal and the second pulse signal is to be used for generating the time stamp for the event signal.

Abstract: Signals are separated by introducing a function having a monotonously increasing characteristic like an exponential type function as a cost function, and applying an adaptive algorithm that minimizes that cost function in terms of a signal separation matrix. That is, there is provided a signal processing apparatus that separates and outputs an original signal from the observed signal x(t), in which multiple multidimensional signals are mixed, wherein the nonlinear function 21 is operated on an input observed signal x(t) and an estimated separation matrix W(t?1) estimated at a previous cycle. Then, an error signal e(t) is calculated 22 based on y(t) formed by this nonlinear function 21, the estimated separation matrix W(t?1) estimated at the previous cycle, and the observed signal x(t) at that time.

Abstract: A tachometer used to measure a speed of an engine. The tachometer includes a pickup, a counter circuit, a conversion circuit, an automatic switching device, an indicator and a meter display. The inductive pickup may be disposed around a spark plug wire of the engine to generate a pulse signal in response to a current flowing through the spark plug wire. The pulse signals are then counted by the counter circuit and input to the conversion circuit therefrom. The conversion circuit typically includes a plurality of lookup tables, each having mapped information correlating the pulse signals to the engine speed for a particular number of engine cylinders. The automatic switching device is operative to call up alternate lookup tables, e.g. each time when the electrical system of the engine is turned on. The display may be display the number of engine cylinders called up by the automatic switching device and measured engine speed.

Abstract: A signal processing technique can be effectively used for source separation, signal enhancement, and noise reduction when using a twin microphone system. The class of stochastic signals for which ratio-estimates can be computed from histograms is defined. This class fits real-world signals of interest such as voice signals. Theoretical computation in closed form of the optimal estimator for this class of signals is disclosed. Two practical implementation solutions are disclosed, as is a practical solution to exploit an echoic environment model. Furthermore, two novel techniques for signal demixing are presented. The application of the optimal estimator and the suboptimal estimator to the case of more than two channels is disclosed.

Abstract: Process for estimating the correlation matrix of signals of unknown characteristics in an array of N sensor. The process determines the correlation matrix {circumflex over (R)}s of the signals of known characteristics, estimates the correlation matrix {circumflex over (R)}x of the sensor signals, forms a matrix A equal to A={circumflex over (R)}s?1/2{circumflex over (R)}x {circumflex over (R)}s?1/2 and decomposes the matrix A into eigenelements, constructs a matrix B based on the eigenelements of the matrix A, and determines the estimated correlation matrix {circumflex over (R)}b of the interfering signals based on the estimated matrix {circumflex over (R)}s and of the matrix B, such that {circumflex over (R)}b={circumflex over (R)}s1/2 B {circumflex over (R)}s1/2. Such a process may find application to antenna processing.

Abstract: Disclosed are techniques used in connection with determining a health indicator (HI) of a component, such as that of an aircraft component. The HI is determined using condition indicators (CIs) which parameterize characteristics about a component minimizing possibility of a false alarm. Different algorithms are disclosed which may be used in determining one or more CIs. The HI may be determined using a normalized CI value. Techniques are also described in connection with selecting particular CIs that provide for maximizing separation between HI classifications. Given a particular HI at a point in time for a component, techniques are described for predicting a future state or health of the component using the Kalman filter. Techniques are described for estimating data values as an alternative to performing data acquisitions, as may be used when there is no pre-existing data.

Abstract: The entire contents of these applications are incorporated herein by reference. A method and apparatus for detecting and monitoring fractures in a structure by monitoring acoustic energy transmitted within the structure by receiving continuously over a period of time electrical signals from a plurality of acoustic tranducers carried by the structure in a pulse processor to form data bursts from pulses in the signals and deriving, for each of a plurality of the data bursts, delta-t values representing the differences between burst arrival times at each sensor, the delta-t values forming a delta-t pattern, and generating a damage indication signal when the delta-t pattern is repeated to a predetermined degree.

Abstract: This invention unifies a set of statistical signal processing, neuromorphic systems, and microelectronic implementation techniques for blind separation and recovery of mixed signals. A set of architectures, frameworks, algorithms, and devices for separating, discriminating, and recovering original signal sources by processing a set of received mixtures and functions of said signals are described. The adaptation inherent in the referenced architectures, frameworks, algorithms, and devices is based on processing of the received, measured, recorded or otherwise stored signals or functions thereof. There are multiple criteria that can be used alone or in conjunction with other criteria for achieving the separation and recovery of the original signal content from the signal mixtures. The composition adopts both discrete-time and continuous-time formulations with a view towards implementations in the digital as well as the analog domains of microelectronic circuits.

Abstract: A method and apparatus for decoupling complex multiple degree-of-freedom (MDOF) responses measured on linear dynamic systems into constituent single degree-of-freedom (SDOF) modal responses. A data acquisition and processing system periodically samples response signals generated by a plurality of sensors spaced at various locations on a linear dynamic system. The processing system calculates a plurality of sets of spatio-temporal filter coefficients based upon time-shifted digitized response signals. A synthesizer applies the spatio-temporal filter coefficients to the response signals, thereby generating synthesized signals representing decoupled SDOF responses of the linear dynamic system. Means are provided for receiving input signals representing a plurality of excitation inputs and for calculating input influence coefficients based upon the time-shifted digitized response signals and the excitation input signals.

Abstract: This invention relates to a real time signal analyzer that can produce time domain data and frequency domain data at the substantial same time and in real time, securing the simultaneousness between them, and can analyze them with changing the setting of the center frequency and the signal analysis span arbitrarily in low cost configuration.